In a proof that the diagonals of rectangle ABCD are congruent, which statement comes just after the statements that AD BC, AB AB, and DAB=CBA?

Question

(1 point)
DAB=DOC
DAB=CBA
DAB=DAO
DAB=AOB

Answer 1

In the context of a proof that the diagonals of rectangle ABCD are congruent, after stating that \( AD \parallel BC \), \( AB = AB \) (the common side), and \( \angle DAB = \angle CBA \) (alternate interior angles), the next logical statement would be:

DAB = AOB

This is because you would typically be using triangle congruence or properties of angles formed by intersecting lines (like diagonals) in relation to the established equal angles. Therefore, the correct answer would be DAB=AOB.